Mathematics questions
18011 published questions with worked solutions.
- Consider the two statements: (S1): (p q) ( q p) is a tautology. (S2): (p q) ( p q) is a fallacy. Then :Not in JEE syllabus
- The domain of the function cosec^ -1 ( 1+x x ) is :
- A fair die is tossed until six is obtained on it. Let X be the number of required tosses, then the conditional probability P(X...
- If _ r=1 ^ 50 ^ -1 1 2r^2 =p, then the value of tan p is :
- Two fair dice are thrown. The numbers on them are taken as and , and a system of linear equations x + y + z = 5, x + 2y + 3z = ,...
- The locus of the mid points of the chords of the hyperbola x^2-y^2=4, which touch the parabola y^2=8x, is :
- The value of 2 ( 8 ) ( 2 8 ) ( 3 8 ) ( 5 8 ) ( 6 8 ) ( 7 8 ) is :
- If ( 3+i)^ 100 =2^ 99 (p+iq), then p and q are roots of the equation :
- Let P be the plane passing through the point (1,2,3) and the line of intersection of the planes r ( i + j +4 k )=16 and r (- i +...
- A 10 inches long pencil AB with mid point C and a small eraser P are placed on the horizontal top of a table such that PC = 5...
- A circle C touches the line x = 2y at the point (2, 1) and intersects the circle C_1: x^2+y^2+2y-5=0 at two points P and Q such...
- _ x 2 ( _ n=1 ^9 x n(n+1)x^2+2(2n+1)x+4 ) is equal to:
- Let a and b respectively be the points of local maximum and local minimum of the function f(x)=2x^3-3x^2-12x. If A is the total...
- If the projection of the vector i +2 j + k on the sum of the two vectors 2 i +4 j -5 k and - i +2 j +3 k is 1, then is equal...
- Let a_1, a_2, ...., a_ 10 be an AP with common difference –3 and b_1, b_2, ...., b_ 10 be a GP with common ratio 2. Let...
- Let Q be the foot of the perpendicular from the point P(7, –2, 13) on the plane containing the lines x+1 6 = y-1 7 = z-3 8 and...
- Let n k denotes ^nC_k and [ n k ]= cases n k , & if 0 k n 0, & otherwise cases If A_k= _ i=0 ^9 9 i [ 12 12-k+i ]+ _ i=0 ^8 8 i [...
- Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four numbers 3 + 2x, 7...
- Let A be a 3 × 3 real matrix. If det(2Adj(2 Adj(Adj(2A)))) = 2^ 41 , then the value of det(A^2) equal________.
- The least positive integer n such that (2i)^n (1-i)^ n-2 , i = -1 is a positive integer, is ___